What is the Greatest Common Factor of 65394 and 65408?

Greatest common factor (GCF) of 65394 and 65408 is 14.

GCF(65394,65408) = 14

We will now calculate the prime factors of 65394 and 65408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65394 and 65408.

How to find the GCF of 65394 and 65408?

We will first find the prime factorization of 65394 and 65408. After we will calculate the factors of 65394 and 65408 and find the biggest common factor number .

Step-1: Prime Factorization of 65394

Prime factors of 65394 are 2, 3, 7, 173. Prime factorization of 65394 in exponential form is:

65394 = 2¹ × 3³ × 7¹ × 173¹

Step-2: Prime Factorization of 65408

Prime factors of 65408 are 2, 7, 73. Prime factorization of 65408 in exponential form is:

65408 = 2⁷ × 7¹ × 73¹

Step-3: Factors of 65394

List of positive integer factors of 65394 that divides 65394 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 173, 189, 346, 378, 519, 1038, 1211, 1557, 2422, 3114, 3633, 4671, 7266, 9342, 10899, 21798, 32697

Step-4: Factors of 65408

List of positive integer factors of 65408 that divides 65394 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 73, 112, 128, 146, 224, 292, 448, 511, 584, 896, 1022, 1168, 2044, 2336, 4088, 4672, 8176, 9344, 16352, 32704

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65394 and 65408. The biggest common factor number is the GCF number.
So the greatest common factor 65394 and 65408 is 14.

Also check out the Least Common Multiple of 65394 and 65408